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Finding the Third Proportional to 211,950 and 465,732

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Solution

The third proportional to 211,950 and 465,732 is: 1,023,384.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,950 : 465,732 = 465,732 : x
  2. Step 2: Convert to fraction form
    211,950/465,732 = 465,732/x
  3. Step 3: Cross multiply
    211,950x = 465,732 × 465,732
  4. Step 4: Simplify right side
    211,950x = 216,906,295,824
  5. Step 5: Solve for x
    x = 216,906,295,824/211,950
  6. Step 6: Final answer
    x = 1,023,384.27

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.